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This article is cited in 2 scientific papers (total in 2 papers)
On Waring's problem with nonintegral exponent
G. I. Arkhipov, A. N. Zhitkov
Abstract:
An asymptotic formula is obtained for representing a natural number $N$ by a sum of $k$ terms of the form $|x^c|$, where $k\ll n^2\ln n$. Here $x$ is a natural number and $c$ is a nonintegral real number greater than 2. The result of Deshouillers in which $k\ll n^3\ln n$ is also improved.
Bibliography: 9 titles.
Received: 01.06.1983
Citation:
G. I. Arkhipov, A. N. Zhitkov, “On Waring's problem with nonintegral exponent”, Izv. Akad. Nauk SSSR Ser. Mat., 48:6 (1984), 1138–1150; Math. USSR-Izv., 25:3 (1985), 443–454
Linking options:
https://www.mathnet.ru/eng/im1511https://doi.org/10.1070/IM1985v025n03ABEH001295 https://www.mathnet.ru/eng/im/v48/i6/p1138
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Abstract page: | 342 | Russian version PDF: | 136 | English version PDF: | 7 | References: | 40 | First page: | 3 |
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